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Finding the Fourth Proportional to 768,407.22, 1,153,422.45 and 431,735.58

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Solution

The fourth proportional to 768,407.22, 1,153,422.45 and 431,735.58 is: 648,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,407.22 : 1,153,422.45 = 431,735.58 : x
  2. Step 2: Convert to fraction form
    768,407.22/1,153,422.45 = 431,735.58/x
  3. Step 3: Cross multiply
    768,407.22x = 1,153,422.45 × 431,735.58
  4. Step 4: Simplify right side
    768,407.22x = 497,973,510,435.77
  5. Step 5: Solve for x
    x = 497,973,510,435.77/768,407.22
  6. Step 6: Final answer
    x = 648,059.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.